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Finding the Fourth Proportional to 981,693,339.86, 1,354,735,866.21 and 541,660,213.46

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Solution

The fourth proportional to 981,693,339.86, 1,354,735,866.21 and 541,660,213.46 is: 747,490,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,693,339.86 : 1,354,735,866.21 = 541,660,213.46 : x
  2. Step 2: Convert to fraction form
    981,693,339.86/1,354,735,866.21 = 541,660,213.46/x
  3. Step 3: Cross multiply
    981,693,339.86x = 1,354,735,866.21 × 541,660,213.46
  4. Step 4: Simplify right side
    981,693,339.86x = 733,806,518,473,226,624
  5. Step 5: Solve for x
    x = 733,806,518,473,226,624/981,693,339.86
  6. Step 6: Final answer
    x = 747,490,574.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.